Year: 2006
Type: preprint
Abstract: This paper examines the completion of an w-ordered sequence of recursive definitions which on the one hand defines an increasing sequence of nested set and on the other redefines successively a numeric variable as the cardinal of the successively defined nested sets. The consequence is a contradiction involving the consistency of w-order and then that of the Axiom of Infinity.
Source: arXiv (Cornell University)
Author: Leon, Antonio
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2112520144